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Finding the Fourth Proportional to 27,257.70, 40,898.70 and 9,740.10

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Solution

The fourth proportional to 27,257.70, 40,898.70 and 9,740.10 is: 14,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,257.70 : 40,898.70 = 9,740.10 : x
  2. Step 2: Convert to fraction form
    27,257.70/40,898.70 = 9,740.10/x
  3. Step 3: Cross multiply
    27,257.70x = 40,898.70 × 9,740.10
  4. Step 4: Simplify right side
    27,257.70x = 398,357,427.87
  5. Step 5: Solve for x
    x = 398,357,427.87/27,257.70
  6. Step 6: Final answer
    x = 14,614.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.